On a class of analytic functions related to Robertson’s formula and subordination

被引：0
作者：
Adam Lecko
Gangadharan Murugusundaramoorthy
Srikandan Sivasubramanian
机构：
[1] University of Warmia and Mazury in Olsztyn,Department of Complex Analysis, Faculty of Mathematics and Computer Science
[2] School of Advanced Sciences,Department of Mathematics
[3] University College of Engineering Tindivanam,Department of Mathematics
[4] Anna University,undefined
来源：
Boletín de la Sociedad Matemática Mexicana | 2021年 / 27卷
关键词：
Univalent function; Starlike function of order ; Starlike function with respect to a boundary point; Coefficient estimates; 30C45; 30C50; 30C80;
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摘要：
In this paper, we define and study a class of analytic functions in the unit disc by modification of the well-known Robertson’s analytic formula for starlike functions with respect to a boundary point combined with subordination. An integral representation and growth theorem are proved. Early coefficients and the Fekete–Szegö functional are also estimated.
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